I derive Planck’s constant from the geometry of the hydrogen atom, achieving 0.018%agreement with CODATA. The derivation rests on a single postulate—that the hydrogenground state is one radian of a natural energy quantum—motivated by the telescoping seriesover atomic transitions. A geometric interpretation of the fine structure constant refines theresult but does not affect the principle. The result demonstrates that h is not an independentfundamental constant but a geometric consequence of atomic structure.
David Charles (Fri,) studied this question.
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